Name
Title | ||
|---|---|---|
On signal moments and uncertainty relations associated with linear canonical transform |
Abstract | ||
|---|---|---|
The linear canonical transform (LCT) has been shown to be a powerful tool for signal processing and optics. This paper investigates the signal moments and uncertainty relations in the LCT domain. Firstly, some important properties of signal moments in the LCT domain are derived. Then some new Heisenberg's uncertainty relations for complex signals are proposed. The tighter lower bounds are related to the covariance of time and frequency and can be achieved by complex chirp signals with Gaussian envelope. The previously developed Heisenberg's uncertainty principles are special cases of the achieved results. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.sigpro.2010.03.017 | Signal Processing |
Keywords | Field | DocType |
linear canonical transform,signal moment,complex chirp signal,linear canonical,complex signal,signal processing,heisenberg's uncertainty principle,new heisenberg,important property,uncertainty relation,gaussian envelope,lct domain,uncertainty principle,lower bound | Applied mathematics,Signal processing,Control theory,Conjugate variables,Gaussian,Chirp,Mathematics,Calculus,Covariance | Journal |
Volume | Issue | ISSN |
90 | 9 | Signal Processing |
Citations | PageRank | References |
9 | 0.59 | 16 |
Authors | ||
3 | ||